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The breadth of a rectangular hall is three-fourth of its length. If the area of the floor is 768 sq. m., then the difference between the length and breadth of the hall is:
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- 8 metres
- 12 metres
- 24 metres
- 32 metres
- 8 metres
Correct Option: A
Using Rule 9,
Let the length of rectangular hall = x–metre
| ∴ Breadth = |  | × x |  | metre Area of rectangular | |
| √4 |
| = Length × Breadth = x × | x sq.m. = | x² m.² | ||
| 4 | 4 |
∴ According to question,
| = | x² = 768 | |
| 4 |
| x² = | |
| 3 |
| or, x = √ | = 32m | |
| 3 |
∴ Length = 32 m and
Breadth = 24m
∴ Required difference = 32 – 24 = 8 m
